12838080 has 112 divisors (see below), whose sum is σ = 41842944. Its totient is φ = 3333120.

The previous prime is 12838079. The next prime is 12838103. The reversal of 12838080 is 8083821.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41125 + ... + 41435.

Almost surely, 2^12838080 is an apocalyptic number.

12838080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20921472).

12838080 is an abundant number, since it is smaller than the sum of its proper divisors (29004864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12838080 is a wasteful number, since it uses less digits than its factorization.

12838080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 12838080 is about 3583.0266535431. The cubic root of 12838080 is about 234.1531614714.

The spelling of 12838080 in words is "twelve million, eight hundred thirty-eight thousand, eighty".